Question

25. State and explain Bernoulli’s theorem. Mention any one application of Bernoulli’s theorem.

26. Mention any three assumptions of kinetic theory of gases.​

Answer 1

Answer:

A)))Bernoulli’s theorem

According to Bernoulli’s theorem, the sum of pressure energy, kinetic energy, and potential energy per unit mass of an incompressible, non-viscous fluid in a streamlined flow remains a constant. Mathematically,

This is known as Bernoulli’s equation.

Proof:

Let us consider a flow of liquid through a pipe AB as shown in Figure 7.33. Let V be the volume of the liquid when it enters A in a time t which is equal to the volume of the liquid leaving B in the same time. Let aA, vA and PA be the area of cross section of the tube, velocity of the liquid and pressure exerted by the liquid at A respectively.

Let the force exerted by the liquid at A is

FA = PAaA

Distance travelled by the liquid in time t is

d = vA t

Therefore, the work done is

W = FAd = PAaAvA t

But aAvAt = aAd =V, volume of the liquid entering at A.

Thus, the work done is the pressure energy (at A), 

W = FAd = PAV

Explanation:

application

Aerofoil lift

The wings of an airplane (aerofoil) are so designed that its upper surface is more curved than the lower surface and the front edge is broader than the real edge. As the aircraft moves, the air moves faster above the aerofoil than at the bottom as shown in Figure 7.35.

According to Bernoulli’s Principle, the pressure of air below is greater than above, which creates an upthrust called the dynamic lift to the aircraft.

Answer 2

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The Question is Give below

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1) According to Bernoulli's theorem, the sum of pressure energy, kinetic energy, and potential energy per unit mass of an incompressible, non-viscous fluid in a streamlined flow remains a constant.

2) (1) the gas is composed of a large number of identical molecules moving in random directions, separated by distances that are large compared with their size (2) the molecules undergo perfectly elastic collisions (no energy loss) with each other 

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